$(20$ points$)$: A worker is responsible for loading and unloading the CNC machine producing

special bolts. Each cycle, $1$ bolt is produced, the load$/$unload elements have total normal time

of $24$ seconds, and the machine time is $2\mathrm{.}83$ minutes. Every sixth cycle, the operator must do

quality parameter checks on the CNC$,$ which takes $3$ minutes and $15$ seconds $($normal time$).$

Company uses PFD allowance factor as $15\%$ and the machine allowance factor as $10\%.$

$1.(10$ points$)$ Determine the standard time for the process and the corresponding standard

daily production quantity for an $8-$hour shift.

$2.(10$ points$)$ Company found a way to internalize the irregular element $($quality checking$).$

This means, in the $6$th cycle, quality checking on the CNC can be done while the CNC is

working. Determine the standard time for the modified process and the corresponding

standard daily production quantity for an $8-$hour shift.